Functions of a Complex Variable 2

MATH 6360 Spring 2017

Course description

Complex algebraic geometry. Prerequisites: MATH 6350 (Functions of a Complex Variable 1).

Students are strongly encouraged to take Algebraic Geometry MATH 6170 and Differential Geometry MATH 6230 concurrently.

Schedule

MWF 10:00 AM -- 10:50 AM, ECCR 116

University of Colorado Academic Calendar

Office hours

MWF 11 AM -- 12 PM

Textbook

1. D. Huybrechts, Complex Geometry: an introduction, Springer 2005, available in .pdf for free from the library.

Our treatment may also follow parts of:

2. P. Griffiths and J. Harris, Principles of Algebraic Geometry, Wiley 1978.
3. C. Voisin, Hodge Theory and Complex Algebraic Geometry, I, Cambridge 2002.
4. R. Wells, Differential Analysis on Complex Manifolds (Third Edition), Springer 2008.
5. D. Arapura, Algebraic Geometry over the Complex Numbers, Springer 2012.

We wil also use the following as a references occasionally:

6. R. Gunning and H. Rossi, Analytic Functions of Several Complex Variables , Prentice--Hall 1965.
7. A. Browder, Mathematical Analysis: an introduction, Springer 1996.
8. P. Aluffi, Algebra: chapter 0, Graduate Studies in Math., AMS, 2009.
9. R. Bott and L. Tu, Differential Forms in Algebraic Topology, Springer, 1982.

Grading

Grades will be based on homework and exams.